640493568000 has 1920 divisors, whose sum is σ = 2816724718080. Its totient is φ = 143327232000.

The previous prime is 640493567993. The next prime is 640493568017. The reversal of 640493568000 is 865394046.

640493568000 is a `hidden beast` number, since 6 + 40 + 49 + 3 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49268735994 + ... + 49268736006.

It is an arithmetic number, because the mean of its divisors is an integer number (1467044124).

Almost surely, 2^640493568000 is an apocalyptic number.

640493568000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640493568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408362359040).

640493568000 is an abundant number, since it is smaller than the sum of its proper divisors (2176231150080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640493568000 is an frugal number, since it uses more digits than its factorization.

640493568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 640493568000 in words is "six hundred forty billion, four hundred ninety-three million, five hundred sixty-eight thousand".